Search a number
-
+
198111252456312 = 233131399453875599
BaseRepresentation
bin101101000010111001011110…
…110101000010001101111000
3221222110020202210220120001020
4231002321132311002031320
5201431323321112100222
61541203015234422440
756505031343143146
oct5502713665021570
9858406683816036
10198111252456312
1158140568297638
121a277355731a20
138670a70854320
1436cc8c8820596
1517d84dd10765c
hexb42e5ed42378

198111252456312 has 64 divisors (see below), whose sum is σ = 533757705600000. Its totient is φ = 60913736256384.

The previous prime is 198111252456311. The next prime is 198111252456329. The reversal of 198111252456312 is 213654252111891.

198111252456312 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198111252456311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226501312 + ... + 227374287.

It is an arithmetic number, because the mean of its divisors is an integer number (8339964150000).

Almost surely, 2198111252456312 is an apocalyptic number.

198111252456312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198111252456312 is an abundant number, since it is smaller than the sum of its proper divisors (335646453143688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

198111252456312 is a wasteful number, since it uses less digits than its factorization.

198111252456312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453877020 (or 453877016 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 51.

The spelling of 198111252456312 in words is "one hundred ninety-eight trillion, one hundred eleven billion, two hundred fifty-two million, four hundred fifty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 1399 2798 4197 5596 8394 11192 16788 18187 33576 36374 54561 72748 109122 145496 218244 436488 453875599 907751198 1361626797 1815502396 2723253594 3631004792 5446507188 5900382787 10893014376 11800765574 17701148361 23601531148 35402296722 47203062296 70804593444 141609186888 634971963001 1269943926002 1904915889003 2539887852004 3809831778006 5079775704008 7619663556012 8254635519013 15239327112024 16509271038026 24763906557039 33018542076052 49527813114078 66037084152104 99055626228156 198111252456312